Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 sider |
Inni boken
Resultat 1-5 av 100
Side 5
... CIRCLE , AND THE MEASURE OF ANGLES BOOK IV . 55 PROPORTIONS , AREAS , AND SIMILARITY OF FIGURES 76 BOOK V. PROBLEMS RELATING TO THE PRECEDING BOOKS 118 BOOK VI . REGULAR POLYGONS , AND THE AREA OF THE CIRCLE SOLID GEOMETRY . 142 BOOK ...
... CIRCLE , AND THE MEASURE OF ANGLES BOOK IV . 55 PROPORTIONS , AREAS , AND SIMILARITY OF FIGURES 76 BOOK V. PROBLEMS RELATING TO THE PRECEDING BOOKS 118 BOOK VI . REGULAR POLYGONS , AND THE AREA OF THE CIRCLE SOLID GEOMETRY . 142 BOOK ...
Side 55
... CIRCLE is a plane figure bounded by a curved line , all the points of which are equally distant from a point within called the centre ; as the figure AD BE . A B C E ... circle is the part of BOOK III THE CIRCLE, AND THE MEASURE OF ANGLES.
... CIRCLE is a plane figure bounded by a curved line , all the points of which are equally distant from a point within called the centre ; as the figure AD BE . A B C E ... circle is the part of BOOK III THE CIRCLE, AND THE MEASURE OF ANGLES.
Side 56
... circle is the part of a circle included between an D B C E F G arc , and the two radii drawn to the extremities of the arc ; as the surface included between the arc AD , and the two radii CA , CD . 160. A SECANT to a circle is a ...
... circle is the part of a circle included between an D B C E F G arc , and the two radii drawn to the extremities of the arc ; as the surface included between the arc AD , and the two radii CA , CD . 160. A SECANT to a circle is a ...
Side 57
... circle ; as the triangle ABC . C B 166. The circle is then said to be CIRCUMSCRIBED about the polygon . D C 167. A POLYGON is CIRCUMSCRIBED about a circle when all its sides are E tangents to the circumference ; as the polygon ABCDEF ...
... circle ; as the triangle ABC . C B 166. The circle is then said to be CIRCUMSCRIBED about the polygon . D C 167. A POLYGON is CIRCUMSCRIBED about a circle when all its sides are E tangents to the circumference ; as the polygon ABCDEF ...
Side 58
... circle into two equal parts ; hence the surface AFC is equal to the surface A F C B , a part to the whole , which is impossible . F E CB 171. Cor . 2. The arc of a circle , whose chord is a diameter , is a semi - circumference , and the ...
... circle into two equal parts ; hence the surface AFC is equal to the surface A F C B , a part to the whole , which is impossible . F E CB 171. Cor . 2. The arc of a circle , whose chord is a diameter , is a semi - circumference , and the ...
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry;: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1863 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1869 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed less Let ABC line A B logarithm logarithmic sine mean proportional measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar sine slant height solidity solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Populære avsnitt
Side 35 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 57 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 117 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 50 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let A : B : : C : D : : E : F; then will A : B : : A + C + E : B + D + F.
Side 77 - Two rectangles having equal altitudes are to each other as their bases.
Side 158 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Side 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Side 314 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Side 100 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 244 - RULE. — Multiply the base by the altitude, and the product will be the area.